7(y+1)-2=5(y+1)+12

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Solution for 7(y+1)-2=5(y+1)+12 equation: 


Simplifying
7(y + 1) + -2 = 5(y + 1) + 12

Reorder the terms:
7(1 + y) + -2 = 5(y + 1) + 12
(1 * 7 + y * 7) + -2 = 5(y + 1) + 12
(7 + 7y) + -2 = 5(y + 1) + 12

Reorder the terms:
7 + -2 + 7y = 5(y + 1) + 12

Combine like terms: 7 + -2 = 5
5 + 7y = 5(y + 1) + 12

Reorder the terms:
5 + 7y = 5(1 + y) + 12
5 + 7y = (1 * 5 + y * 5) + 12
5 + 7y = (5 + 5y) + 12

Reorder the terms:
5 + 7y = 5 + 12 + 5y

Combine like terms: 5 + 12 = 17
5 + 7y = 17 + 5y

Solving
5 + 7y = 17 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
5 + 7y + -5y = 17 + 5y + -5y

Combine like terms: 7y + -5y = 2y
5 + 2y = 17 + 5y + -5y

Combine like terms: 5y + -5y = 0
5 + 2y = 17 + 0
5 + 2y = 17

Add '-5' to each side of the equation.
5 + -5 + 2y = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 2y = 17 + -5
2y = 17 + -5

Combine like terms: 17 + -5 = 12
2y = 12

Divide each side by '2'.
y = 6

Simplifying
y = 6

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